Bioelectrical impedance analysis-part I review of principle and methods

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    ESPEN GUIDELINES

    Bioelectrical impedance analysisFpart I: review ofprinciples and methods

    Ursula G. Kylea, Ingvar Bosaeusb, Antonio D. De Lorenzoc,Paul Deurenbergd, Marinos Eliae, Jos !e Manuel G !omezf,Berit Lilienthal Heitmanng, Luisa Kent-Smithh, Jean-Claude Melchiori,

    Matthias Pirlichj

    , Hermann Scharfetterk

    , Annemie M.W.J. Scholsl

    ,Claude Pichardm,*, Composition of the ESPEN Working Group

    aGeneva University Hospital, Geneva, SwitzerlandbSahlgrenska University Hospital, Gothenbury, SwedencUniversity Rome Tor Vergata, Rome, ItalydNutrition Consultant, SingaporeeSouthampton General Hospital, Southampton, UKfHospital Universitario de Bellvitge, Barcelona, SpaingCopenhagen University Hospital, Copenhagen, DenmarkhUniversity of Porto, Porto, Portugali

    Hospital Raymond Poincar!e, Garches, FrancejUniversitatsklinikum Charit!e, Berlin, Germany

    kGraz University of Technology, Graz, AustrialUniversity Hospital Maastricht, Maastricht, The NetherlandsmClinical Nutrition Unit, Geneva University Hospital, Micheli-du-Crest, 24, 1211 Geneva 14, Switzerland

    Received 3 June 2004; accepted 4 June 2004

    Summary The use of bioelectrical impedance analysis (BIA) is widespread both inhealthy subjects and patients, but suffers from a lack of standardized method andquality control procedures. BIA allows the determination of the fat-free mass (FFM)

    and total body water (TBW) in subjects without significant fluid and electrolyteabnormalities, when using appropriate population, age or pathology-specific BIAequations and established procedures. Published BIA equations validated against areference method in a sufficiently large number of subjects are presented andranked according to the standard error of the estimate.

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    KEYWORDS

    Bioelectrical impedance

    analysis;Segmental bioelectrical

    impedance analysis;

    Multi-frequency bioelectri-

    cal impedance analysis;

    Abbreviations: BCM, body cell mass; BF, body fat; BIA, bioelectrical impedance analysis; BIS, bioelectrical impedance spectroscopy(BIS); BMI, body mass index; BIVA, bioelectrical impedance vector analysis; DXA, dual-energy X-ray absorptiometry; ECW, extracellularwater; FFM, fat-free mass; ICW, intracellular water; MF-BIA, multi-frequency bioelectrical impedance analysis; PhA, phase angle; R,resistance; SF-BIA, single frequency bioelectrical impedance analysis; TBK, total body potassium; TBW, total body water; Xc,reactance; Z, impedance.

    *Corresponding author. Tel.: 41-22-372-93-45; fax: 41-22-372-93-63.E-mail address: [email protected] (C. Pichard).

    0261-5614/$ - see front matter & 2004 Elsevier Ltd. All rights reserved.doi:10.1016/j.clnu.2004.06.004

    Clinical Nutrition (2004) 23, 12261243

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    The determination of changes in body cell mass (BCM), extra cellular (ECW) andintra cellular water (ICW) requires further research using a valid model thatguarantees that ECW changes do not corrupt the ICW. The use of segmental-BIA,multifrequency BIA, or bioelectrical spectroscopy in altered hydration states alsorequires further research.

    ESPEN guidelines for the clinical use of BIA measurements are described in a paperto appear soon in Clinical Nutrition.

    & 2004 Elsevier Ltd. All rights reserved.

    Introduction

    This review discusses the application of bioelec-trical impedance analysis (BIA). BIA is widely usedin many clinical situations. Part 1 is a review of the principles and methodsof BIA, the body compart-ments evaluated with BIA, selection criteria, and

    selected BIA equations reported in the literature.Part II will provide guidelines for BIA use in clinicalpractice.

    Historical background

    Electrical properties of tissues have been de-scribed since 1871.1 These properties were furtherdescribed for a wider range of frequencies onlarger range of tissues, including those that were

    damaged or undergoing change after death.Thomasset2,3 conducted the original studies usingelectrical impedance measurements as an index oftotal body water (TBW), using two subcutaneouslyinserted needles. Hoffer et al.4 and Nyboer5 firstintroduced the four-surface electrode BIA techni-que. A disadvantage of surface electrodes isthat a high current (800mA) and high voltagemust be utilized to decrease the instability ofinjected current related to cutaneous impedance(10 000O/cm2).6 By the 1970s the foundationsof BIA were established, including those thatunderpinned the relationships between the im-

    pedance and the body water content of the body.A variety of single frequency BIA analyzers thenbecame commercially available, and by the 1990s,the market included several multi-frequencyanalyzers. The use of BIA as a bedside methodhas increased because the equipment is portableand safe, the procedure is simple and non-invasive, and the results are reproducible andrapidly obtained. More recently, segmental BIAhas been developed to overcome inconsisten-cies between resistance (R) and body mass ofthe trunk.

    Principles of bioelectrical impedance

    The resistance (R) of a length of homogeneousconductive material of uniform cross-sectional areais proportional to its length (L) and inverselyproportional to its cross sectional area (A)(Fig. 1). Although the body is not a uniform cylinder

    and its conductivity is not constant, an empiricalrelationship can be established between the im-pedance quotient (Length2/R) and the volume ofwater, which contains electrolytes that conduct theelectrical current through the body. In practice, itis easier to measure height than the conductivelength, which is usually from wrist to ankle.Therefore, the empirical relationship is betweenlean body mass (typically 73% water) and height2/R. Due to the inherent field inhomogeneity inthe body, the term height2/R describes an equiva-lent cylinder, which must be matched to the

    real geometry by an appropriate coefficient. Thiscoefficient depends on various factors, among themalso the anatomy of the segments under investiga-tion. Therefore, errors occur when there arealterations in resistivity of the conductive material,

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    Length (L)

    Current

    Cylinder

    Cross-sectionalarea (A)

    Figure 1 Principles of BIA from physical characteristicsto body composition. Cylinder model for the relationshipbetween impedance and geometry. The resistance of alength of homogeneous conductive material of uniformcross-sectional area is proportional to its length (L) andinversely proportional to its cross sectional area (A).Hence resistance R rL=A rL2=V; and volume V rL2=R; where r is the resistivity of the conductingmaterial and Vequals AL.

    Bioelectrical spectroscopy;

    ESPEN guidelines;

    Fat-free mass;

    Total body water;

    Extracellular water;

    Intracellular water;

    Body cell mass

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    variations in the ratio height to conductive length,and variations in the shape of the body andbody segments (body segments behave as ifthey are in series with each other, with shorterand thicker segments contributing less to thetotal R).

    Another complexity is that the body offers twotypes of R to an electrical current: capacitative R(reactance), and resistive R (simply called resis-tance). The capacitance arises from cell mem-branes, and the R from extra- and intracellularfluid. Impedance is the term used to describe thecombination of the two. Several electrical circuitshave been used to describe the behavior ofbiological tissues in vivo.7 One of them involvesarranging R and capacitance in series, another inparallel (Fig. 2), whilst others are more complex. Acircuit that is commonly used to represent biologi-cal tissues in vivo is one in which the R of

    extracellular fluid is arranged in parallel to thesecond arm of the circuit, which consists ofcapacitance and R of intracellular fluid in series.R and capacitance can all be measured over a rangeof frequencies (most single-frequency BIA analyzersoperate at 50-kHz).

    At zero (or low) frequency, the current does notpenetrate the cell membrane, which acts as aninsulator, and therefore the current passes throughthe extracellular fluid, which is responsible for themeasured R of the body R0.

    At infinite frequency (or very high frequency) the

    capacitor behaves as a perfect (or near perfect)capacitor, and therefore the total body R (RN

    )reflects the combined of both intracellular andextracellular fluid.

    Since practical constraints and the occurrenceof multiple dispersions prevent the use of adirect current (zero frequency) or very highfrequency AC currents, the R values at the ideal

    measurement frequencies are predicted using aColeCole plot8 (negative reactance versus R plot),with R0 theoretically representing the R of theextracellular fluid (intracellular water) and R

    N

    representing the R of intra- and extracellular fluid(TBW) (Fig. 3).

    At 50 kHz, the current passes through both intra-and extracellular fluid, although the proportionvaries from tissue to tissue. Another parallel modelattempts to take into account the effect ofmixing. Mixing theory predicts that the Rof conductive fluids increases as the amount of

    suspended non-conducting material increases(explained simplistically by the increased conduc-tive path taken by the current as it curves aroundnon-conducting particles, which in vivo maybe represented by cells). The formula devised byHanai for in vitro models has been extrapolatedfor use in vivo, but this requires a number offurther assumptions.9,10 Different conceptual par-allel models have been devised for assessingcomposition of limbs, for example limb musclemass.11

    The relationship between capacitance and R isinteresting because it reflects different electrical

    properties of tissues that are affected in variousways by disease and nutritional status and hydra-tion status. The phase angle, which is one measureof this relationship, and other interrelated indices,including R0/RN, have been used to predict clinicaloutcome.1214 Furthermore, when the R and capa-citance are plotted graphically after standardisingfor height, different disease/conditions appear toform distinct clusters (bioelectric impedance vec-tor analysis (BIVA)) as proposed by Piccoli et al.1517

    (Fig. 4). These may have potential value withrespect to diagnosis and prognosis.

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    R(ECW)

    R(ICW)XC

    Fricke's circuit

    Two parallel electrical conductors:

    R(ECW): H2O-Na

    R(ICW): H2O-K

    isolated by a cell membrane (Xc)

    Figure 2 The human body consists of resistance andcapacitance connected in parallel or in series. In theparallel model, two or more resistors and capacitors areconnected in parallel, with the current passing at highfrequencies through the intracellular space and at lowfrequencies passing through the extracellular space.

    Frequency

    increases

    Resistance R ()R

    Impedance Z ()

    Ro

    Phase angle

    -ReactanceXc

    ()

    Figure 3 Diagram of the graphical derivation of thephase angle; its relationship with resistance (R), reac-tance (Xc), impedance (Z) and the frequency of theapplied current.

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    Methods of bioelectrical impedanceanalysis

    Single frequency BIA (SF-BIA)

    SF-BIA, generally at 50kHz, is passed betweensurface electrodes placed on hand and foot (Fig. 5).Some BIA instruments use other locations such asfoot-to-foot18,19 or hand-to-hand electrodes. At50 kHz BIA is strictly speaking not measuring TBWbut a weighted sum of extra-cellular water (ECW)and intra-cellular water (ICW) resistivities (B25%).SF-BIA permits to estimate fat-free mass (FFM) andTBW, but cannot determine differences in ICW. BIAresults are based on a mixture theories and

    empirical equations. The latter have been derived

    in healthy subjects with tight biological home-ostasis. Although SF-BIA is not valid under condi-tions of significantly altered hydration, this doesnot negate its use to predict absolute FFM or TBW innormally hydrated subjects.7 The relative merits ofthe various equations have to be discussed, whenthe normal relationships are not met.

    Multi-frequency BIA (MF-BIA)

    As with SF-BIA, MF-BIA uses empirical linearregression models but includes impedances at

    multiple frequencies. MF-BIA uses different fre-quencies (0, 1, 5, 50, 100, 200 to 500 kHz) toevaluate FFM, TBW, ICW and ECW. At frequenciesbelow 5 kHz, and above 200 kHz, poor reproduci-bility have been noted, especially for the reactanceat low frequencies.20 According to Patel et al.21 MF-BIA was more accurate and less biased than SF-BIAfor the prediction of ECW, whereas SF-BIA, com-pared to MF-BIA, was more accurate and less biasedfor TBW in critically ill subjects. Hannan et al.22

    noted that MF-BIA, compared to bioelectricalspectroscopy (BIS), resulted in better prediction

    of TBW and equal prediction for ECW in surgicalpatients. Olde-Rikkert et al.23 determined that MF-BIA was unable to detect changes in the distributionor movement of fluid between extracellular andintracellular spaces in elderly patients.

    Bioelectrical spectroscopy (BIS)

    In contrast to MF-BIA, BIS uses mathematicalmodeling and mixture equations (e.g. ColeCole plot (Fig. 3) and Hanai formula)8,24 togenerate relationships between R and body fluid

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    Figure 4 Bioelectrical impedance vector analysis (BIVA)with the RXc path graph of one patient following lungtransplantation. The gender-specific, bivariate toleranceintervals for the impedance vector are depicted as 50%,75%, and 95% tolerance ellipses calculated in our healthy

    Swiss reference population (age 18

    59 yr, 2643 women, Ris the resistance, Xc the negative reactance, and H theheight). Repeated impedance measurements were ob-tained after lung transplantation: (a) 1 month, (b) 6months, (c) 12 months, (d) 18 months, (e) 24 months. Theinitial vector position (a in woman) indicates soft tissuemass decrease (bioelectrical impedance vector analysis(BIVA) pattern of cachexia). The subsequent vectormigration parallel to the minor axis of ellipses towardthe target ellipse (bd in woman) indicates an improve-ment of nutritional status with increasing hydrated softtissue mass (i.e. decreasing R with increasing Xc). Thefinal vector migration from the lower pole (BIVA pattern

    of tissue hyperhydration) to the center of the 50%tolerance ellipse, following a trajectory parallel to themajor axis (i.e. proportional increase in both R and Xc),indicates loss of excess fluid leading to the completerestoration of tissue impedance, which was reached after24 months in woman (e). Body weight increased from54.2 to 68.8kg in woman (156cm, 47 yr). Unpublisheddata, adapted from Piccoli et al.16

    Figure 5 Standard placement of electrodes on hand andwrist and foot and ankle for tetrapolar single (SF-BIA) andmultiple-frequency (MF-BIA) BIA.

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    compartments or to predict R0 and RN and thendevelop empirically derived prediction equationsrather than go to mixture modeling.25 BIS models,constants and equations generated in healthypopulations have shown to be accurate, withminimal bias in non-physiologically perturbed sub-

    jects.

    26

    However, modeling techniques need furtherrefinement in disease. As pointed out by Schoeller,27

    body cell mass (BCM), especially muscle mass,constitutes the major current path. These cellsare non-spherical, but rather cylindrical, arrangedalong the currents path. He speculated that thedifferences in geometry account for the reductionin the mixture effect. Furthermore, the determina-tion of accurate values of resistivity (rICW andrECW) presented the most difficulty. Publishedvalues are widely discrepant. Ward et al.10 sug-gested wide biological variations even in the normalpopulation, may explain the apparent lack of

    improvement of mixture theory analysis overempirical prediction seen by some.22,28 Severalstudies have suggested that resistivity constantsused should be adjusted for population mea-sured.9,2931 Since the absolute magnitude andbiological constancy of resistivity are at presentunknown, application of mixture theory for theprediction of both the absolute magnitude of bodyfluid volume or changes in magnitude of bodycompartments requires further investigation.10

    Mixture equations in some studies show improve-ment in accuracy,3234 no improvement35,36 or

    worse accuracy7

    than regression approach. Thepotential of BIS can only be exhausted if the dataare interpreted with adequate algorithm thatinclude reliable data fitting and a valid fluiddistribution model.37

    Segmental-BIA

    Segmental-BIA is performed by either placing twoadditional electrode on wrist and foot on theopposite side,38 or by placing sensor electrodes onwrist, shoulder (acromion), upper iliac spine and

    ankle,39 or by placing electrodes on proximalportion of the forearm and the lower leg and tr unkelectrode on the shoulder and the upper thigh.7,40

    For a detailed review, we refer the reader to DeLorenzo and Andreoli.41 The trunk of the body withits large cross sectional area contributes as little as10% to whole body impedance whereas it repre-sents as much as 50% of whole body mass.42 Thisimplies three aspects for body composition analysisby the whole body BIA approach: (1) changes of theimpedance are closely related to changes of theFFM (or muscle mass or body cell mass (BCM)) of the

    limbs; (2) changes of the FFM (or muscle mass orBCM) of the trunk are probably not adequatelydescribed by whole body impedance measure-ments, and (3) even large changes in the fluidvolume within the abdominal cavity have onlyminor influence on the measurement of FFM or

    BCM as could demonstrated in patients with livercirrhosis and ascites undergoing paracentesis.43

    Segmental-BIA requires prior standardization, par-ticularly when different approaches and different BIAdevices are employed. Standardization of the type ofelectrodes used and their placement is a majorconcern. Segmental-BIA has been used to determinefluid shifts and fluid distribution in some diseases(ascites, renal failure, surgery), and may be helpful inproviding information on fluid accumulation in thepulmonary or abdominal region of the trunk.

    Bracco et al.44 and Tagliabue et al.45 found highrelative errors with segmental-BIA for arms and

    legs: 13

    17% for arm FFM and 10

    13% for leg FFM.Tagliabue et al.45 noted that frequencies higherthan 50kHz did not improve the segmental BIAresults. Additional research is needed to examinethe accuracy of the segmental BIA.

    Localized bioelectrical impedance analysis

    Whole body BIA measures various body segmentsand is influenced by a number of effects (hydration,fat fraction, geometrical boundary conditions,etc.). Hence the validity of simple empirical

    regression models is population-specific. For thesereasons, localized BIA, which focuses on well-defined body segments and thus minimizes theinterference effects, has been proposed. Scharfet-ter et al.46 determined local abdominal fat mass bylocalized BIA. Rutkove et al.47 determined inpatients with neuromuscular disease that phaseangle and resistivity of limbs decreased withdisease progression and normalized with diseaseremission and may be useful in the therapeuticevaluation of such diseases.

    Bioelectrical impedance vector analysis(BIVA or vector BIA)

    The ultimate attractiveness of BIA lies in itspotential as a stand-alone procedure that permitspatient evaluation from the direct measurement ofthe impedance vector and does not depend onequations or models. The BIVA approach developedby Piccoli et al. 16,48,49 is only affected by theimpedance measurement error and the biologicalvariability of subjects. In BIVA, R and reactance(Xc), standardized for height, are plotted as point

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    vectors in the RXc plane. An individual vector canthen be compared with the reference 50%, 75%,and 95% tolerance ellipses calculated in the healthypopulation of the same gender and race (RXcgraph method) (Fig. 4). The ellipse varies with ageand body size.50

    Clinical validation studies (renal patients, criticalcare patients and obese subjects)1719 showed thatvectors falling outside the 75% tolerance ellipseindicate an abnormal tissue impedance, which canbe interpreted as follows: (1) vector displacementsparallel to the major axis of tolerance ellipsesindicate progressive changes in tissue hydration(dehydration with long vectors, out of the upperpole, and hyperhydration with short vectors, out ofthe lower pole); and (2) vectors falling above (left)or below (right) the major axis of tolerance ellipsesindicate more or less BCM, respectively, containedin lean body tissues. Long-term monitoring of

    patients has shown combined changes in hydrationand soft tissue mass. Fig. 4 shows an example ofBIVA follow-up with the RXc path graph in a femalepatient following lung transplantation, using the50th, 75th and 95th tolerance percentiles of ahealthy Swiss reference population (data unpub-lished). However, Cox-Reijven et al.51 found a lowsensitivity (but high specificity) of BIVA in detectingdepletion in gastrointestinal patients. Furthervalidation seems necessary.

    Body compartments

    Fat-free mass

    FFM is everything that is not body fat (Fig. 6). Alarge number of BIA equations in the literaturepredict FFM. These equations vary in the para-meters included in the multiple regression equa-tions and their applicability in various subjects.Early BIA equations (before 1987) only includedheight2/resistance. Later equations include otherparameters, such as weight, age, gender, reac-

    tance, and anthropometric measurements of thetrunk and/or extremities to improve the predictionaccuracy. FFM can be determined by SF-BIAprovided that hydration is normal and BIA equationsused are applicable to the study population, withregard to gender, age, and ethnic group.

    Total body water (TBW), extracellular (ECW)and intracellular water (ICW)

    OBrien et al.52 found that current BIA methods (SF-and MF-BIA) are not sufficiently accurate to assess

    TBW under conditions of hydration change. Equa-

    tions that were developed in euhydrated popula-tions have not been shown to be valid forindividuals with altered hydration. Data from bothhypo- and hyper-hydration studies suggest thatelectrolyte balance influences BIA measurementsindependently of fluid changes. Such effects maybe difficult to predict, as fluid and electrolytechanges will also affect the ratio of intra- to extra-cellular water which, in turn, influences resistivity.The ECW:ICW ratio is a factor known to limit theapplicability of predictive equations generated byBIA to external populations.53 Furthermore, BIA

    does not allow to accurately assess TBW and ECWwhen body water compartments are undergoingacute changes.54,55 In addition, the average bodyhydration of the FFM varies with age (newborns80%; 10-yr old children 75%,56 healthy adults 73%).

    According to Ellis et al.57 50 kHz SF-BIA primarilyreflects the ECW space, which represents aconstant proportion of TBW in normal condition.An increase in ECW or in the ECW/TBW ratio mayindicate edema and/or malnutrition. MF-BIA ap-pears to be sensitive to such changes, even if thereare no significant changes in body weight. On theother hand, the parallel-transformed, SF-BIA mod-

    el58 appears to be sensitive to changes in ICW (orBCM),7 but not to changes in ECW. Therefore thismodel may have limited use for estimating FFM orbody fat when there is an abnormal hydrationstate.57

    Among the MF-BIA and BIS models, the 0/Nparallel (ColeCole) model is considered moreprecise and accurate for the measurement of ECWand ICW than variables obtained by SF-BIA. Gudi-vaka et al.7 found the 0/N parallel (ColeCole)model accurately predicted changes in TBW, ECWand ICW in subjects receiving Ringers solution or

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    Figure 6 Schematic diagram of fat-free mass (FFM),total body water (TBW), intracellular water (ICW),extracellular water (ECW) and body cell mass (BCM).

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    diuretic therapy with proximally placed detectorelectrodes (elbow and knee). Scharfetter et al.59

    estimated that, due to electrolyte changes, at theend of dialysis, the error with respect to thevolume change was large (p15% for the ECW and420% for ICW). They concluded that a correction of

    the fluid distribution model for resistivity changesis necessary to obtain more reliable ICW data. Thepotential of BIS can only be exhausted if the dataare interpreted with adequate algorithm thatinclude reliable data fitting and a valid fluiddistribution model which considers tissue non-homogeneities.37 A valid model must guaranteethat ECW changes do not corrupt the ICW and viceversa.37 Standardization of BIS method remains aconcern.

    The meta-analysis by Martinoli et al.60 concludedthat SF-BIA and BIS significantly overestimated TBWin healthy individuals, whereas there was no

    overestimation by MF-BIA. MF-BIA seems to be amore accurate method for determining the TBWcompartment for healthy and obese adults and forpersons with chronic renal failure.

    Body cell mass (BCM)

    Whereas FFM is everything that is not body fat,there is no consensus on the physiological meaningof measures of cellular mass, BCM or meta-bolically active tissue and ICW. The BCM is the

    protein rich compartment which is affected incatabolic states, and loss ofBCM is associated withpoor clinical outcome.61,62 In overhydrated pa-tients, even precise determination of FFM mightfail to detect relevant protein malnutrition becauseof expansion of the ECW. Estimating the size isdifficult because it is a complex compartment,comprising all nonadipose cells as well as theaqueous compartment of adipocytes. Future re-search is needed to define BCM and the role of BIAin its clinical evaluation.

    In patients with severe fluid overload, such aspatients with ascites, inter-individual differences

    of lean tissue hydration are probably too high todevelop uniform equations to assess BCM. Pirlichet al.63 concluded that in patients with largealterations of body geometry or hydration statusthe application of standard BIA is not appropriateto assess BCM.

    Ward and Heitmann64 evaluated assessment ofBCM and ECW by BIA without the need formeasurement of height and found that the sig-nificant differences in the mean values and widelimits of agreement compared to reference data forBCM and ECW do not permit to predict these body

    compartments without inclusion of height in spiteof obvious advantages of not requiring an accuratemeasurement of height.

    BIA measurements and equations

    BIA measurements must be standardized in order toobtain reproducible results (see BIAFpart 2).Reported mean coefficients of variation for with-in-day R measurements areE12%; daily or weeklyintra-individual variability is slightly larger rangingfrom E2% to 3.5%.6568 Day-to-day coefficients ofvariation increases for frequencies lower than50kHz.69 Overall reproducibility/precision is 2.74.0%.67 Prediction errors were estimated to be 38%for TBW and 3.56% for FFM, respectively.70,71

    Early BIA equations were validated in inadequatepopulations, as demonstrated in respiratory insuf-ficiency patients.72 Large variations in results werenoted with many formulas published in the litera-ture that precluded clinical interpretation. The useof general prediction equations across differentage and ethnic groups without prior testing of theirvalidity should be avoided. Choosing a BIA equationthat is adapted to the populations studied con-tinues to be a limiting factor of BIA.

    Standardization of future studies with regard tomethodological considerations (such as inclusionand exclusion criteria, standardization of BIAmethods etc.) as discussed by Gonzalez et al.73

    should help to improve BIA results in the future.

    Table of validated equations

    Selected BIA equations published since l990 foradults for FFM (Table 1);6,58,70,7488 body fat (Table2),38,82,86,88,89 TBW (Table 3),20,25,32,58,65,70,78,88,9094

    ECW (Table 4),20,25,32,90,92,93,95 ICW (Table 5)96,97 andBCM (Table 6)58,98 are shown in order of increasingstandard error of the estimate (SEE). They arelimited to studies in healthy subjects that include atleast 40 subjects and are validated against acriterion measure. For discussion of BIA equations

    in specific diseases, we refer the reader toBioelectrical impedance analysisFpart II: utiliza-tion in clinical practice. The equation for TBW byKushner and Schoeller65 is included because it isfrequently cited in the literature. For BIA equationsfor FFM, TBW and body fat published prior to l990,we refer the reader to Houtkooper et al.99

    How to choose a BIA equation

    Houtkouper et al.99 suggested that prediction error(SEE) of 2.02.5 kg in men and 1.51.8 kg in women

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    Table 1 Bioelectrical impedance analysis equation reported in the literature since 1990 for fat-free mass (FFM) classified ac

    elderly, overweight) and standard error of the estimate (SEE).Population Source n Criterion

    measureEquation

    Adults

    Healthy subjects,1894yr

    Kyle et al.74 343 DXA 4:104 0:518 Ht2=R500:231 weight0:130 Xc 4:229 sex

    Healthy adults,1829yr

    Lohman75 153 Densitometry85 , w Women 5:49 0:476 Ht2=R500:295 weight

    Healthy adults,3049yr

    Lohman75 122 Densitometry85 , w Women 11:59 0:493 Ht2=R500:141 weight

    Healthy, ethnic divers Kotler et al.SF parallel58

    126 DXA Women 0:07 0:88 Ht1:97=Z0:4950 1:0=22:22 0:081 weight

    Healthy subjects,416yr

    Deurenberg et al.76 661 Multi-C,87

    densitometry86 , z12:44 0:34Ht2=R500:1534 height0:273 weight 0:127 age 4:56 sex

    Healthy subjects,1271yr

    Boulier et al.6 202 Densitometry 6:37 0:64 weight 0:40Ht2=Z1 MHz0:16 age2:71 sex men 1; women 2

    Women 1860 yr Stolarczyk et al.77 95 Multi-Cy 20:05 0:04904 R500:001254 Ht2

    0:1555 weight 0:1417 Xc 0:0833 ageHealthy adults,5070yr

    Lohman75 72 Densitometry85 , w Women 6:34 0:474 Ht2=R500:180 weight

    Healthy adults,1829yr

    Lohman75 153 Densitometry85 , w Men 5:32 0:485 Ht2=R500:338 weight

    Healthy subjects,1294yr

    Sun et al.70 1095 Multi-C Women: 9:529 0:696 Ht2=R500:168 weight 0:016 R50

    Healthy, ethnic divers Kotler et al.SF parallel58

    206 DXA Men 0:49 0:50 Ht1:48=Z0:5550 1:0=1:21 0:42 weight

    Healthy adults,3049yr

    Lohman75

    111 Densitometry85 , w

    Men 4:51 0:549 Ht2

    =R500:163 weight 0:092 Xc

    Healthy subjects,3565yr

    Heitmann78 139 Multi-C,88 3H2O,TBK

    14:94 0:279 Ht2=R500:181 weight0:231 height 0:064 sex weight 0:077 ag

    Healthy adults,5070yr

    Lohman75 74 Densitometry85 , w Men 11:41 0:600 Ht2=R500:186 weight 0:226 Xc

    Healthy subjects,1294yr

    Sun et al.70 734 4 compart Men : 10:678 0:652 Ht2=R500:262 weight 0:015 R

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    Overweight

    Overweight women2545yr

    Jakicic et al.79 123 DXA 2:68 0:20 Ht2=R500:19 weight2:55 ethnicityCaucasian 0;AfricanAmerican 1 0:1157 height

    Overweight women2545yr

    Jakicic et al.79 DXA 2:04 0:02 R500:19 weight2:63 ethnicityCaucasian 0;

    AfricanAmerican 10:2583 height

    Elderly

    Elderly women6272yr

    Haapala et al.80 93 DXA 128:06 1:85 BMI 0:63 weight1:07 height 0:03 R5010:0 waisthip ratio

    Elderly Roubenoff et al.81 294 DXA Women : 7:7435 0:4542 Ht2=R500:1190 weight 0:0455 Xc

    Elderly, 6594 y r Baumgartner et al.82 98 Multi-C82 , z 1:732 0:28Ht2=R500:27 weight4:5 sex 0:31 thigh circ

    Elderly Dey et al.83 106 4 compart 11:78 0:499 Ht2=R500:134 weight3:449 sex

    Elderly, 6083 yr Deurenberg et al.84 72 Densitometry86 , z 7:0 0:360 Ht2=R504:5 sex0:359 weight 0:20 thigh circ

    Elderly, 60

    83 yr Deurenberg et al.84 72 Densitometry86 , z 3:9 0:672 Ht2=R503:1 Sex Elderly, 6594 y r Baumgartner et al.82 98 Densitometry86 , z 15:44 0:34Ht2=R500:36 weight

    4:3 sex 0:57 ankle circElderly Roubenoff et al.81 161 DXA Men: 9:1536 0:4273 Ht2=R50

    0:1926 weight 0:0667 XcElderly Roubenoff et al.81 445 DXA 5:741 0:4551 Ht2=R500:1405 weight

    0:0573 Xc 6:2467 sex

    BIA equations are shown in order of increasing standard error of the estimate (SEE). They are limited to studies in healthy subjects that includagainst a criterion measure.nRSME, root mean square error; R, resistance; Ht2/R, height2/resistance, Xc, reactance; V, body volume; Z, impedance; Z5, impedance at 5 kHz0 for women, unless otherwise stated, NR, not reported, height in cm, weight in kg, thigh circumference in cm, resistance in ohm, reactance in Xitron Technologies, San Diego, CA; Valhalla Scientific, San Diego, CA; BIA-2000-M, Data Input, Hofheim, Germany; IMP BO-1, (2 subcutaneous elsubjects are Caucasian, except Jakicic (Caucasian and African-American), Stolarczyk et al. (Native American), and Sun (Caucasian and Africaw%BF ((4.570/body density) 4.142) 100.z%BF (4.95/body density) 4.5)100.y%BF (6.38/body density) 3.961 bone mineral mass 6.090)100.z%BF ((1.34/body density) 0.35age0.56 mineral content 1) 205.

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    Table 2 Bioelectrical impedance analysis equation reported in the literature since 1990 for body fat (BF) classified accordin(SEE).

    Comments Source n Criterion measure Equation

    Body fat (%)Elderly, 6594yr Baumgartner et al.82 98 Multi-C82 , n 23:58 20:03 R50 weight=Ht

    2

    0:29 thigh circ4:99 sex 0:52 arm circ

    Elderly, 6594yr Baumgartner et al.82 98 Densitometry86 , w 18:89 22:12 R50 weight=Ht2

    0:64 calf circ4:13 sex

    Body fat (kg)

    Healthy subjects,2164 yr,segmental BIA

    Organ et al.

    38

    104 Underwaterweighing, 2H2O Women :5:9150 0:7395 weight0:3327 height 0:0846 age

    0:048 upperlimb R500:2705 trunk R500:0384 lowerlimb R500:1219lowerlimb Xc

    Healthy subjects,2164 yr,segmental BIA

    Organ et al.38 96 Underwaterweighing, 2H2O

    Men : 4:2422 0:7368 weight 0:0482 height

    0:1170 age 0:0393 upperlimb R500:5110trunk R500:0654 lowerlimb R500:2560lowerlimb Xc

    Healthy subjects,3565yr

    Heitmann89 139 FM multi-C88 14:94 0:079Ht2=R500:818 weight 0:231 height

    0:064 sex weight 0:077 age

    BIA equations are shown in order of increasing standard error of the estimate (SEE). They are limited to studies in healthy subjects that includagainst a criterion measure.

    R, resistance; Ht2/R, height2/resistance; Xc, reactance; V, body volume; Z, impedance; Z5, impedance at 5 kHz; Z100, impedance at 100 kHz; 1stated; circ, circumference.RJL Systems, Inc, Clinton Twp, MI; Xitron Technologies, San Diego, CA; Valhalla Scientific, San Diego, CA; BIA-2000-M, Data Input, Hofheim, Gn%BF ((1.34/body density) 0.35age0.56 mineral content 1) 205.w%BF (4.95/body density) 4.5)100.

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    Table 4 Bioelectrical impedance analysis equation reported in the literature since 1990 for extracellular water (ECW), classifieestimate (SEE).

    Population Source n Criterionmeasure

    Equation r2

    Healthy subjects Deurenberg et al.90 139 KBr 2:30 0:19528 Ht2=Z10:06987 weight

    0:02 age

    0.87

    Healthy subjects Deurenberg et al.90 139 KBr 2:53 0:18903 Ht2=Z50:06753 weight

    0:02 age0.86

    Healthy subjects,1965yr

    Van Loan andMayclin92

    60 NaBr 5:17753 0:09989 Ht2=R2240:09322 weight 1:3962

    sexmen 0; women 1

    0.92

    Healthy22 andill subjects18

    Sergi et al.95 40 NaBr 7:24 0:34Ht2=R10:06 weight2:63healthy 1; ill 2 2:57sexmen 0; women 1

    0.89

    Healthy22 andill subjects18

    Sergi et al.95 40 NaBr F5:22 0:20Ht2=R500:005Ht2=Xc50

    0:08 weight 1:9healthy 1; ill 2

    1:86 sexmen 0; women 1

    0.89

    Healthy non-obeseand obese subjects

    Cox-Reijven andSoeters32

    90 NaBr 3:511 0:351Ht2=Recw0:05 weight 0.77

    Healthy subjects Cornish et al.25 60 NaBr 6:3 0:352Ht2=R00:099 weight 3:09sex0 male; 1 female

    0.7

    Healthy subjects Cornish et al.25 60 NaBr 1:2 0:194 Ht2=R00:115 weight 0.65 Healthy subjects Cornish et al.25 60 NaBr 5:3 0:480Ht2=R03:5sex0 male;

    1 female

    0.66

    Elderly, 6387 yr Visser et al.93 117 KBr Men 4:8 0:2249 Ht2=Z5 0.39 Women 1:7 0:1998 Ht2=Z50:0571 weight 0.65

    Surgical patients Hannan et al.20 43 NaBr 5:75 0:01Ht2=Xc500:165Ht2=R5 0.87

    Surgical patients Hannan et al.20 43 NaBr 6:15 0:0119 Ht2=Xc500:123 Ht2=R50 0.87

    BIA equations are shown in order of increasing standard error of the estimate (SEE). They are limited to studies in healthy subjects that includagainst a criterion measure.

    R, resistance; Ht2

    /R, height2

    /resistance; Recw, Resistance by Cole

    Cole plot; Xc, reactance; V, body volume; Z, impedance; Z5, impedance at men, 0 for women, unless otherwise stated.NaBr sodium bromide, KBrPotassium bromide.Human-IM Scanner, Dietosystem, Milan, Italy; Xitron Technologies, San Diego, CA; RJL Systems, Inc, Clinton Twp, MI; SEAC, Brisbane, Australi

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    Table 5 Bioelectrical impedance analysis equation reported in the literature since 1990 for intracellular water (ICW), classifieestimate (SEE).

    Comments Source n Criterionmeasure Equation

    Elderly, 6080 yr Dittmar and Reber, SFBIA96 159 TBK 9:182 0:285 Ht2=Z57:114 PA52:113 sex

    Healthy men, 2353 yr De Lorenzo et al.97 57 TBK 12:2 0:37065 Ht2=Ricw0:132 age 0:105 weigh

    BIA equations are shown in order of increasing standard error of the estimate (SEE). They are limited to studies in healthy subjects that includagainst a criterion measure.TBK, total body potassium; Ricw, intracellular resistance; Ht

    2/Z5, height2/impedance at 5 kHz; PA5, phase angle at 5 kHz; 1 for men, 0 for wo

    Xitron Technologies, San Diego, CA; BIA-2000-M, Data Input, Hofheim, Germany.

    Table 6 Bioelectrical impedance analysis equation reported in the literature since 1990 for body cell mass (BCM), classifiedestimate (SEE)n.

    Comments Source n Criterionmeasure

    Equation

    Elderly, 6090yr Dittmar and Reber, SFBIA98 160 TBK 1:898 Ht2=Xcp500:051 weight 4:180 sex 15:496

    Elderly, 6090 yr MFBIA1 160 TBK 1:118 Ht2=Ric5=504:250 sex 14:457

    Elderly, 6090 yr MFBIA2 160 TBK 0:822 Ht2=Ric5=1004:158 sex 14:096

    Healthy, ethnic diverse Kotler et al. SF parallel58 206 TBK Men 1=120 0:76 59:06Ht1:6=X0:5cp50 18:52 weight 38

    Healthy, ethnic diverse Kotler et al. SF parallel58

    126 TBK Women 1=120 0:96 1:3 Ht2:07

    =X0:36cp50 5:79 weight 23

    BIA equations are shown in order of increasing standard error of the estimate (SEE). They are limited to studies in healthy subjects that includagainst a criterion measure.BIA-2000-M, Data Input, Hofheim, Germany; RJL Systems, Inc, Clinton Twp, MI.nRMSE, root mean square error; TBK, total body potassium; R, resistance; Ht2/Xcp50, height

    2/parallel reactance at 50 kHz; Ric5=50; R5R50/(R5men, 0 for women.

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    and actual error of 0.01.8 kg is considered ideal.Prediction error of less than 3.0 kg for men and2.3 kg for women would be considered very good.BIA equations chosen should not be used withoutprior verification against reference methods in thesubject population studied.

    Limitations of BIA equations

    BIA integrates various body segments with variablephysical effects of hydration, fat fraction, geome-trical boundary conditions etc. on tissue conductiv-ity (see Part II). This explains, in part, whyempirical regression models are population-speci-fic. Furthermore, the trunk contributes only a smallproportion to whole body impedance because it isrelatively short and has a large cross-sectionalarea. Limitations of BIA measurements in case of

    body water alterations or body geometry abnorm-alities are described in Part II. ECW:ICW ratio is afactor known to limit the applicability of predictiveequations generated by BIA to populations withvarying hydration.53

    The difficulties of validating BIA in different ageand ethnic groups, and clinical conditions withabnormal hydration states has resulted in aplethora of BIA equations that confuse, rather thanaid in the interpretation of BIA results. Tables 16try to facilitate this selection by presentingequations according to the respective value ofstandard error of the estimate. Specific BIA

    measurement errors associated with clinical condi-tions are discussed in Part II.

    Reference methods

    Validation of BIA equations must be done againstreference methods, including multi-compartmentmodel,100,101 densitometry (underwater weigh-ing),102 dual-energy X-ray absorptiometry(DXA),102 isotope dilution102,103 and total bodypotassium (TBK). Each of these reference methodshas limitations and makes assumptions (such as

    total body potassium (TBK)/FFM is constant withage, constant hydration of FFM of 73%, constantdensity for FFM with densitometry) that are notvalid in all situations.104 Although DXA is not yetconsidered a gold standard method, it is in-cluded as reference method because of its wideavailability and it can be used in patients. Alimitations of DXA is that results by differentmanufacturers do not agree.105,106 Although TBK isa reference method for body cell mass (BCM),107 itis limited in the determination of FFM because TBKcontent varies with sex and age.108,109 The two-

    compartment model makes assumptions regardingthe constancy of composition of FFM, which is nottrue in all ethnic groups and across the life. Theselimitations can be overcome with a multi-compart-ment model.104

    Thus, some of the discrepancies reported in the

    literature are due to different reference methodsand different software versions of the referencemethods used in the validation process. This leavesus with the dilemma of choosing a BIA equation fora specific population that was considered validbased on a reference method that may or may nothave been accurate and may or may not becomparable to other reference methods.

    Study population

    Most studies were done on Caucasian subjects.Kotler et al.58 and Sun et al.70 include African-American and Hispanic subjects. Stolarczyk et al.77

    includes native American Indians. Ethnic-specificimpedance-based equations for body compositionare justified because of differences in body buildamong ethnic groups.110 Relative leg lengths,111

    frame size112 and body build113 are factors respon-sible for ethnic differences in the body mass index(BMI) to % body fat relationship. Failing to adjustfor differences in FFM density in ethnic groups mayresult in systematic biases of up to 3%.111 Futurebody composition research should include non-Caucasian subjects.

    Conclusion

    Whole-body BIA allows the determination of the FFMand TBW in subjects without significant fluid andelectrolyte abnormalities, when using appropriatepopulation, age or pathology-specific BIA equationsand established procedures. The determination ofchanges in BCM, ECW and ICW requires furtherresearch using a valid model that guarantees thatECW changes do not corrupt the ICW and vice versa.

    The use of segmental, MF-BIA or BIS in alteredhydration states also requires further research.

    ESPEN guidelines for the use of BIA measure-ments (see Bioelectrical impedance analysisFPartII) are described in another paper to be publishedsoon in Clinical Nutrition.

    Acknowledgements

    We acknowledge the financial support by PublicFoundation Nutrition 2000Plus.

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